47613291146400 has 288 divisors, whose sum is σ = 177129947957760. Its totient is φ = 10882515409920.

The previous prime is 47613291146341. The next prime is 47613291146401. The reversal of 47613291146400 is 464119231674.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 47613291146400.

It is not an unprimeable number, because it can be changed into a prime (47613291146401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 431150391 + ... + 431260809.

It is an arithmetic number, because the mean of its divisors is an integer number (615034541520).

Almost surely, 2^{47613291146400} is an apocalyptic number.

47613291146400 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 47613291146400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88564973978880).

47613291146400 is an abundant number, since it is smaller than the sum of its proper divisors (129516656811360).

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

47613291146400 is a wasteful number, since it uses less digits than its factorization.

47613291146400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136116 (or 136103 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 47613291146400 in words is "forty-seven trillion, six hundred thirteen billion, two hundred ninety-one million, one hundred forty-six thousand, four hundred".