156848116286400 has 5376 divisors, whose sum is σ = 716258540519424. Its totient is φ = 29094912000000.

The previous prime is 156848116286347. The next prime is 156848116286461. The reversal of 156848116286400 is 4682611848651.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1552951646350 + ... + 1552951646450.

It is an arithmetic number, because the mean of its divisors is an integer number (133232615424).

Almost surely, 2^{156848116286400} is an apocalyptic number.

156848116286400 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 156848116286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358129270259712).

156848116286400 is an abundant number, since it is smaller than the sum of its proper divisors (559410424233024).

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

156848116286400 is a wasteful number, since it uses less digits than its factorization.

156848116286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 60.

The spelling of 156848116286400 in words is "one hundred fifty-six trillion, eight hundred forty-eight billion, one hundred sixteen million, two hundred eighty-six thousand, four hundred".