9252534457152 has 448 divisors, whose sum is σ = 31396810114560. Its totient is φ = 2617250807808.

The previous prime is 9252534457129. The next prime is 9252534457183. The reversal of 9252534457152 is 2517544352529.

9252534457152 is a `hidden beast` number, since 9 + 2 + 5 + 2 + 5 + 34 + 457 + 152 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×9252534457152² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1411950708 + ... + 1411957260.

Almost surely, 2^{9252534457152} 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 9252534457152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15698405057280).

9252534457152 is an abundant number, since it is smaller than the sum of its proper divisors (22144275657408).

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

9252534457152 is a wasteful number, since it uses less digits than its factorization.

9252534457152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7727 (or 7711 counting only the distinct ones).

The product of its digits is 15120000, while the sum is 54.

The spelling of 9252534457152 in words is "nine trillion, two hundred fifty-two billion, five hundred thirty-four million, four hundred fifty-seven thousand, one hundred fifty-two".