46811582272 has 224 divisors, whose sum is σ = 121329582080. Its totient is φ = 17400821760.

The previous prime is 46811582231. The next prime is 46811582287. The reversal of 46811582272 is 27228511864.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14051647 + ... + 14054977.

It is an arithmetic number, because the mean of its divisors is an integer number (541649920).

Almost surely, 2^46811582272 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 46811582272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60664791040).

46811582272 is an abundant number, since it is smaller than the sum of its proper divisors (74517999808).

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

46811582272 is a wasteful number, since it uses less digits than its factorization.

46811582272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3509 (or 3499 counting only the distinct ones).

The product of its digits is 430080, while the sum is 46.

The spelling of 46811582272 in words is "forty-six billion, eight hundred eleven million, five hundred eighty-two thousand, two hundred seventy-two".