938211542016 has 176 divisors, whose sum is σ = 2865899566080. Its totient is φ = 267311554560.

The previous prime is 938211541987. The next prime is 938211542033. The reversal of 938211542016 is 610245112839.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7659171 + ... + 7780701.

Almost surely, 2^938211542016 is an apocalyptic number.

938211542016 is a gapful number since it is divisible by the number (96) 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 938211542016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432949783040).

938211542016 is an abundant number, since it is smaller than the sum of its proper divisors (1927688024064).

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

938211542016 is a wasteful number, since it uses less digits than its factorization.

938211542016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121920 (or 121902 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 938211542016 in words is "nine hundred thirty-eight billion, two hundred eleven million, five hundred forty-two thousand, sixteen".