36193437846144 has 768 divisors, whose sum is σ = 112059687168000. Its totient is φ = 11180248031232.

The previous prime is 36193437846121. The next prime is 36193437846157. The reversal of 36193437846144 is 44164873439163.

36193437846144 is a `hidden beast` number, since 3 + 6 + 1 + 9 + 3 + 4 + 3 + 7 + 8 + 4 + 614 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 100817375437 + ... + 100817375795.

It is an arithmetic number, because the mean of its divisors is an integer number (145911051000).

Almost surely, 2^{36193437846144} 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 36193437846144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56029843584000).

36193437846144 is an abundant number, since it is smaller than the sum of its proper divisors (75866249321856).

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

36193437846144 is a wasteful number, since it uses less digits than its factorization.

36193437846144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 910 counting only the distinct ones).

The product of its digits is 125411328, while the sum is 63.

The spelling of 36193437846144 in words is "thirty-six trillion, one hundred ninety-three billion, four hundred thirty-seven million, eight hundred forty-six thousand, one hundred forty-four".