46972060434432 has 1296 divisors, whose sum is σ = 171076702829760. Its totient is φ = 12631142301696.

The previous prime is 46972060434421. The next prime is 46972060434451. The reversal of 46972060434432 is 23443406027964.

46972060434432 is a `hidden beast` number, since 4 + 6 + 9 + 7 + 20 + 604 + 3 + 4 + 4 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×46972060434432² (a number of 28 digits) contains 22 as substring.

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

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, 2763062378488 + ... + 2763062378504.

Almost surely, 2^{46972060434432} is an apocalyptic number.

46972060434432 is a gapful number since it is divisible by the number (42) 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 46972060434432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85538351414880).

46972060434432 is an abundant number, since it is smaller than the sum of its proper divisors (124104642395328).

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

46972060434432 is an frugal number, since it uses more digits than its factorization.

46972060434432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 54.

The spelling of 46972060434432 in words is "forty-six trillion, nine hundred seventy-two billion, sixty million, four hundred thirty-four thousand, four hundred thirty-two".