9245061554400 has 648 divisors, whose sum is σ = 39327505144200. Its totient is φ = 2113154749440.

The previous prime is 9245061554353. The next prime is 9245061554411. The reversal of 9245061554400 is 44551605429.

9245061554400 is a `hidden beast` number, since 9 + 2 + 4 + 50 + 6 + 1 + 554 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 9040326 + ... + 10010874.

Almost surely, 2^{9245061554400} is an apocalyptic number.

9245061554400 is a gapful number since it is divisible by the number (90) 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 9245061554400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19663752572100).

9245061554400 is an abundant number, since it is smaller than the sum of its proper divisors (30082443589800).

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

9245061554400 is a wasteful number, since it uses less digits than its factorization.

9245061554400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970598 (or 970566 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 9245061554400 in words is "nine trillion, two hundred forty-five billion, sixty-one million, five hundred fifty-four thousand, four hundred".