47151456400 has 120 divisors (see below), whose sum is σ = 119632968000. Its totient is φ = 17809574400.

The previous prime is 47151456397. The next prime is 47151456449. The reversal of 47151456400 is 465415174.

It is a super-2 number, since 2×47151456400² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 47151456400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2353626 + ... + 2373574.

It is an arithmetic number, because the mean of its divisors is an integer number (996941400).

Almost surely, 2^47151456400 is an apocalyptic number.

47151456400 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 47151456400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59816484000).

47151456400 is an abundant number, since it is smaller than the sum of its proper divisors (72481511600).

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

47151456400 is a wasteful number, since it uses less digits than its factorization.

47151456400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20297 (or 20286 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 37.

The spelling of 47151456400 in words is "forty-seven billion, one hundred fifty-one million, four hundred fifty-six thousand, four hundred".