141456814920 has 192 divisors, whose sum is σ = 473576004720. Its totient is φ = 36592238592.

The previous prime is 141456814907. The next prime is 141456815009. The reversal of 141456814920 is 29418654141.

141456814920 is a `hidden beast` number, since 1 + 41 + 4 + 568 + 1 + 49 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 26710672356 + 114746142564 = 163434^2 + 338742^2 .

It is a super-2 number, since 2×141456814920² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4473084 + ... + 4504596.

Almost surely, 2^141456814920 is an apocalyptic number.

141456814920 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 141456814920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236788002360).

141456814920 is an abundant number, since it is smaller than the sum of its proper divisors (332119189800).

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

141456814920 is a wasteful number, since it uses less digits than its factorization.

141456814920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31904 (or 31897 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 141456814920 in words is "one hundred forty-one billion, four hundred fifty-six million, eight hundred fourteen thousand, nine hundred twenty".