46256895360 has 1152 divisors, whose sum is σ = 189564429600. Its totient is φ = 10351411200.

The previous prime is 46256895343. The next prime is 46256895389. The reversal of 46256895360 is 6359865264.

46256895360 is a `hidden beast` number, since 4 + 6 + 25 + 6 + 89 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 46256895297 and 46256895306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 758309730 + ... + 758309790.

Almost surely, 2^46256895360 is an apocalyptic number.

46256895360 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 46256895360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94782214800).

46256895360 is an abundant number, since it is smaller than the sum of its proper divisors (143307534240).

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

46256895360 is a wasteful number, since it uses less digits than its factorization.

46256895360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 46256895360 in words is "forty-six billion, two hundred fifty-six million, eight hundred ninety-five thousand, three hundred sixty".