36455821887744 has 1152 divisors, whose sum is σ = 132698442240000. Its totient is φ = 9840929366016.

The previous prime is 36455821887743. The next prime is 36455821887757. The reversal of 36455821887744 is 44778812855463.

36455821887744 is a `hidden beast` number, since 3 + 6 + 4 + 558 + 21 + 8 + 8 + 7 + 7 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (36455821887743) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21036249502 + ... + 21036251234.

It is an arithmetic number, because the mean of its divisors is an integer number (115189620000).

Almost surely, 2^{36455821887744} 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 36455821887744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66349221120000).

36455821887744 is an abundant number, since it is smaller than the sum of its proper divisors (96242620352256).

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

36455821887744 is a wasteful number, since it uses less digits than its factorization.

36455821887744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2265 (or 2231 counting only the distinct ones).

The product of its digits is 1445068800, while the sum is 72.

The spelling of 36455821887744 in words is "thirty-six trillion, four hundred fifty-five billion, eight hundred twenty-one million, eight hundred eighty-seven thousand, seven hundred forty-four".