936097651104 has 864 divisors, whose sum is σ = 3367215774720. Its totient is φ = 226060369920.

The previous prime is 936097651039. The next prime is 936097651109. The reversal of 936097651104 is 401156790639.

936097651104 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×936097651104² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (936097651109) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 861174849 + ... + 861175935.

It is an arithmetic number, because the mean of its divisors is an integer number (3897240480).

Almost surely, 2^936097651104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 936097651104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1683607887360).

936097651104 is an abundant number, since it is smaller than the sum of its proper divisors (2431118123616).

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

936097651104 is a wasteful number, since it uses less digits than its factorization.

936097651104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 51.

The spelling of 936097651104 in words is "nine hundred thirty-six billion, ninety-seven million, six hundred fifty-one thousand, one hundred four".