46253007360 has 960 divisors, whose sum is σ = 196775834112. Its totient is φ = 9809952768.

The previous prime is 46253007301. The next prime is 46253007373. The reversal of 46253007360 is 6370035264.

46253007360 is a `hidden beast` number, since 4 + 62 + 530 + 0 + 7 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 137249112 + ... + 137249448.

Almost surely, 2^46253007360 is an apocalyptic number.

46253007360 is a gapful number since it is divisible by the number (40) 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 46253007360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98387917056).

46253007360 is an abundant number, since it is smaller than the sum of its proper divisors (150522826752).

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

46253007360 is a wasteful number, since it uses less digits than its factorization.

46253007360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 46253007360 in words is "forty-six billion, two hundred fifty-three million, seven thousand, three hundred sixty".