46607309952 has 256 divisors, whose sum is σ = 144015252480. Its totient is φ = 13080637440.

The previous prime is 46607309933. The next prime is 46607309989. The reversal of 46607309952 is 25990370664.

It is a junction number, because it is equal to n+sod(n) for n = 46607309895 and 46607309904.

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 31 ways as a sum of consecutive naturals, for example, 37677078 + ... + 37678314.

It is an arithmetic number, because the mean of its divisors is an integer number (562559580).

Almost surely, 2^46607309952 is an apocalyptic number.

46607309952 is a gapful number since it is divisible by the number (42) 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 46607309952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72007626240).

46607309952 is an abundant number, since it is smaller than the sum of its proper divisors (97407942528).

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

46607309952 is a wasteful number, since it uses less digits than its factorization.

46607309952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 51.

The spelling of 46607309952 in words is "forty-six billion, six hundred seven million, three hundred nine thousand, nine hundred fifty-two".