46607628544 has 81 divisors (see below), whose sum is σ = 94667813499. Its totient is φ = 22901399040.

The previous prime is 46607628541. The next prime is 46607628547. The reversal of 46607628544 is 44582670664.

The square root of 46607628544 is 215888.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (46607628541) and next prime (46607628547).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 46607628491 and 46607628500.

It is not an unprimeable number, because it can be changed into a prime (46607628541) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 355783359 + ... + 355783489.

Almost surely, 2^46607628544 is an apocalyptic number.

46607628544 is the 215888-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46607628544

46607628544 is an abundant number, since it is smaller than the sum of its proper divisors (48060184955).

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

46607628544 is an frugal number, since it uses more digits than its factorization.

46607628544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 52.

The spelling of 46607628544 in words is "forty-six billion, six hundred seven million, six hundred twenty-eight thousand, five hundred forty-four".