156481984512 has 1152 divisors, whose sum is σ = 587981721600. Its totient is φ = 41385738240.

The previous prime is 156481984511. The next prime is 156481984577. The reversal of 156481984512 is 215489184651.

156481984512 is a `hidden beast` number, since 1 + 5 + 6 + 48 + 1 + 9 + 84 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×156481984512² (a number of 23 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 not an unprimeable number, because it can be changed into a prime (156481984511) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5047805937 + ... + 5047805967.

It is an arithmetic number, because the mean of its divisors is an integer number (510400800).

Almost surely, 2^156481984512 is an apocalyptic number.

156481984512 is a gapful number since it is divisible by the number (12) 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 156481984512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293990860800).

156481984512 is an abundant number, since it is smaller than the sum of its proper divisors (431499737088).

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

156481984512 is an frugal number, since it uses more digits than its factorization.

156481984512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 66 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 54.

The spelling of 156481984512 in words is "one hundred fifty-six billion, four hundred eighty-one million, nine hundred eighty-four thousand, five hundred twelve".