36252147456 has 432 divisors, whose sum is σ = 126482720000. Its totient is φ = 10351660032.

The previous prime is 36252147431. The next prime is 36252147457. The reversal of 36252147456 is 65474125263.

36252147456 is a `hidden beast` number, since 3 + 6 + 2 + 52 + 147 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36252147457) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21336495 + ... + 21338193.

Almost surely, 2^36252147456 is an apocalyptic number.

36252147456 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 36252147456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63241360000).

36252147456 is an abundant number, since it is smaller than the sum of its proper divisors (90230572544).

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

36252147456 is an frugal number, since it uses more digits than its factorization.

36252147456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1751 (or 1711 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The spelling of 36252147456 in words is "thirty-six billion, two hundred fifty-two million, one hundred forty-seven thousand, four hundred fifty-six".