46928418586624 has 135 divisors (see below), whose sum is σ = 94916229289581. Its totient is φ = 23201591132160.

The previous prime is 46928418586601. The next prime is 46928418586667. The reversal of 46928418586624 is 42668581482964.

The square root of 46928418586624 is 6850432.

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

It can be written as a sum of positive squares in only one way, i.e., 32708882612224 + 14219535974400 = 5719168^2 + 3770880^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 95577227019 + ... + 95577227509.

Almost surely, 2^{46928418586624} is an apocalyptic number.

46928418586624 is the 6850432-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46928418586624

46928418586624 is an abundant number, since it is smaller than the sum of its proper divisors (47987810702957).

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

46928418586624 is an frugal number, since it uses more digits than its factorization.

46928418586624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 602 counting only the distinct ones).

The product of its digits is 1274019840, while the sum is 73.

The spelling of 46928418586624 in words is "forty-six trillion, nine hundred twenty-eight billion, four hundred eighteen million, five hundred eighty-six thousand, six hundred twenty-four".