36315037938816 has 3072 divisors, whose sum is σ = 144122698137600. Its totient is φ = 8517141135360.

The previous prime is 36315037938653. The next prime is 36315037938821. The reversal of 36315037938816 is 61883973051363.

36315037938816 is a `hidden beast` number, since 3 + 6 + 3 + 150 + 379 + 38 + 81 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 352573183821 + ... + 352573183923.

It is an arithmetic number, because the mean of its divisors is an integer number (46914940800).

Almost surely, 2^{36315037938816} is an apocalyptic number.

36315037938816 is a gapful number since it is divisible by the number (36) 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 36315037938816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72061349068800).

36315037938816 is an abundant number, since it is smaller than the sum of its proper divisors (107807660198784).

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

36315037938816 is a wasteful number, since it uses less digits than its factorization.

36315037938816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 36315037938816 in words is "thirty-six trillion, three hundred fifteen billion, thirty-seven million, nine hundred thirty-eight thousand, eight hundred sixteen".