36401016455496 has 512 divisors, whose sum is σ = 134033771520000. Its totient is φ = 8861703782400.

The previous prime is 36401016455491. The next prime is 36401016455521. The reversal of 36401016455496 is 69455461010463.

36401016455496 is a `hidden beast` number, since 3 + 6 + 4 + 0 + 101 + 6 + 45 + 5 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (36401016455491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 67874205 + ... + 68408403.

It is an arithmetic number, because the mean of its divisors is an integer number (261784710000).

Almost surely, 2^{36401016455496} is an apocalyptic number.

36401016455496 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 36401016455496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67016885760000).

36401016455496 is an abundant number, since it is smaller than the sum of its proper divisors (97632755064504).

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

36401016455496 is a wasteful number, since it uses less digits than its factorization.

36401016455496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534490 (or 534480 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 36401016455496 in words is "thirty-six trillion, four hundred one billion, sixteen million, four hundred fifty-five thousand, four hundred ninety-six".