36902401151616 has 3072 divisors, whose sum is σ = 153029689344000. Its totient is φ = 8654426726400.

The previous prime is 36902401151611. The next prime is 36902401151677. The reversal of 36902401151616 is 61615110420963.

36902401151616 is a `hidden beast` number, since 3 + 6 + 9 + 0 + 24 + 0 + 1 + 1 + 5 + 1 + 616 = 666.

It is a super-2 number, since 2×36902401151616² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (36902401151611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 290570087745 + ... + 290570087871.

It is an arithmetic number, because the mean of its divisors is an integer number (49814352000).

Almost surely, 2^{36902401151616} is an apocalyptic number.

36902401151616 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 36902401151616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76514844672000).

36902401151616 is an abundant number, since it is smaller than the sum of its proper divisors (116127288192384).

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

36902401151616 is a wasteful number, since it uses less digits than its factorization.

36902401151616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 36902401151616 in words is "thirty-six trillion, nine hundred two billion, four hundred one million, one hundred fifty-one thousand, six hundred sixteen".