14135720062500 has 441 divisors, whose sum is σ = 46444412476567. Its totient is φ = 3762757800000.

The previous prime is 14135720062391. The next prime is 14135720062523. The reversal of 14135720062500 is 526002753141.

The square root of 14135720062500 is 3759750.

It is a perfect power (a square), and thus also a powerful number.

14135720062500 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 5 + 7 + 20 + 0 + 625 + 0 + 0 = 666.

14135720062500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 5319951476004 + 8815768586496 = 2306502^2 + 2969136^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 146 ways as a sum of consecutive naturals, for example, 25378312222 + ... + 25378312778.

Almost surely, 2^{14135720062500} is an apocalyptic number.

14135720062500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14135720062500 is the 3759750-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14135720062500

14135720062500 is an abundant number, since it is smaller than the sum of its proper divisors (32308692414067).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14135720062500 is an frugal number, since it uses more digits than its factorization.

14135720062500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

Multiplying 14135720062500 by its sum of digits (36), we get a square (508885922250000 = 22558500²).

14135720062500 divided by its sum of digits (36) gives a square (392658890625 = 626625²).

The spelling of 14135720062500 in words is "fourteen trillion, one hundred thirty-five billion, seven hundred twenty million, sixty-two thousand, five hundred".