46370032128 has 480 divisors, whose sum is σ = 160149749760. Its totient is φ = 12637347840.

The previous prime is 46370032127. The next prime is 46370032147. The reversal of 46370032128 is 82123007364.

It is a happy number.

46370032128 is a `hidden beast` number, since 4 + 637 + 0 + 0 + 3 + 2 + 12 + 8 = 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 = 46370032092 and 46370032101.

It is not an unprimeable number, because it can be changed into a prime (46370032123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78994651 + ... + 78995237.

It is an arithmetic number, because the mean of its divisors is an integer number (333645312).

Almost surely, 2^46370032128 is an apocalyptic number.

46370032128 is a gapful number since it is divisible by the number (48) 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 46370032128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80074874880).

46370032128 is an abundant number, since it is smaller than the sum of its proper divisors (113779717632).

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

46370032128 is a wasteful number, since it uses less digits than its factorization.

46370032128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 46370032128 in words is "forty-six billion, three hundred seventy million, thirty-two thousand, one hundred twenty-eight".