14345794631700 has 432 divisors, whose sum is σ = 53632697815424. Its totient is φ = 3258147110400.

The previous prime is 14345794631683. The next prime is 14345794631743. The reversal of 14345794631700 is 713649754341.

14345794631700 is a `hidden beast` number, since 1 + 4 + 3 + 4 + 5 + 7 + 9 + 463 + 170 + 0 = 666.

It is a super-2 number, since 2×14345794631700² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26437110 + ... + 26974290.

Almost surely, 2^{14345794631700} is an apocalyptic number.

14345794631700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14345794631700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26816348907712).

14345794631700 is an abundant number, since it is smaller than the sum of its proper divisors (39286903183724).

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

14345794631700 is a wasteful number, since it uses less digits than its factorization.

14345794631700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537374 (or 537355 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 14345794631700 in words is "fourteen trillion, three hundred forty-five billion, seven hundred ninety-four million, six hundred thirty-one thousand, seven hundred".