46326288960 has 896 divisors, whose sum is σ = 196837401600. Its totient is φ = 10032906240.

The previous prime is 46326288929. The next prime is 46326288977. The reversal of 46326288960 is 6988262364.

46326288960 is a `hidden beast` number, since 4 + 6 + 3 + 2 + 628 + 8 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×46326288960² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 46326288897 and 46326288906.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 106988904 + ... + 106989336.

It is an arithmetic number, because the mean of its divisors is an integer number (219684600).

Almost surely, 2^46326288960 is an apocalyptic number.

46326288960 is a gapful number since it is divisible by the number (40) 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 46326288960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98418700800).

46326288960 is an abundant number, since it is smaller than the sum of its proper divisors (150511112640).

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

46326288960 is a wasteful number, since it uses less digits than its factorization.

46326288960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 46326288960 in words is "forty-six billion, three hundred twenty-six million, two hundred eighty-eight thousand, nine hundred sixty".