46546024140 has 1152 divisors, whose sum is σ = 203532134400. Its totient is φ = 8685895680.

The previous prime is 46546024103. The next prime is 46546024159. The reversal of 46546024140 is 4142064564.

46546024140 is a `hidden beast` number, since 4 + 6 + 5 + 4 + 602 + 4 + 1 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 46546024095 and 46546024104.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 113804256 + ... + 113804664.

It is an arithmetic number, because the mean of its divisors is an integer number (176677200).

Almost surely, 2^46546024140 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 46546024140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101766067200).

46546024140 is an abundant number, since it is smaller than the sum of its proper divisors (156986110260).

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

46546024140 is a wasteful number, since it uses less digits than its factorization.

46546024140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 46546024140 in words is "forty-six billion, five hundred forty-six million, twenty-four thousand, one hundred forty".