36498264461568 has 1296 divisors, whose sum is σ = 138324978634752. Its totient is φ = 9161994240000.

The previous prime is 36498264461563. The next prime is 36498264461579. The reversal of 36498264461568 is 86516446289463.

It is a happy number.

36498264461568 is a `hidden beast` number, since 3 + 6 + 4 + 9 + 8 + 26 + 446 + 156 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 36498264461496 and 36498264461505.

It is not an unprimeable number, because it can be changed into a prime (36498264461563) 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, 2775315793 + ... + 2775328943.

Almost surely, 2^{36498264461568} 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 36498264461568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69162489317376).

36498264461568 is an abundant number, since it is smaller than the sum of its proper divisors (101826714173184).

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

36498264461568 is a wasteful number, since it uses less digits than its factorization.

36498264461568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13292 (or 13268 counting only the distinct ones).

The product of its digits is 1433272320, while the sum is 72.

The spelling of 36498264461568 in words is "thirty-six trillion, four hundred ninety-eight billion, two hundred sixty-four million, four hundred sixty-one thousand, five hundred sixty-eight".