46233033264 has 360 divisors, whose sum is σ = 151895278080. Its totient is φ = 13071421440.

The previous prime is 46233033257. The next prime is 46233033271.

46233033264 is a `hidden beast` number, since 4 + 6 + 23 + 303 + 326 + 4 = 666.

46233033264 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (46233033257) and next prime (46233033271).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37617802 + ... + 37619030.

It is an arithmetic number, because the mean of its divisors is an integer number (421931328).

Almost surely, 2^46233033264 is an apocalyptic number.

46233033264 is a gapful number since it is divisible by the number (44) 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 46233033264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75947639040).

46233033264 is an abundant number, since it is smaller than the sum of its proper divisors (105662244816).

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

46233033264 is a wasteful number, since it uses less digits than its factorization.

46233033264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

It can be divided in two parts, 462330 and 33264, that added together give a palindrome (495594).

The spelling of 46233033264 in words is "forty-six billion, two hundred thirty-three million, thirty-three thousand, two hundred sixty-four".