47149158218400 has 2304 divisors, whose sum is σ = 215839305400320. Its totient is φ = 9678569472000.

The previous prime is 47149158218363. The next prime is 47149158218443. The reversal of 47149158218400 is 481285194174.

It is a happy number.

47149158218400 is a `hidden beast` number, since 4 + 7 + 1 + 4 + 9 + 1 + 582 + 18 + 40 + 0 = 666.

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 383 ways as a sum of consecutive naturals, for example, 35530638537 + ... + 35530639863.

It is an arithmetic number, because the mean of its divisors is an integer number (93680254080).

Almost surely, 2^{47149158218400} is an apocalyptic number.

47149158218400 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 47149158218400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107919652700160).

47149158218400 is an abundant number, since it is smaller than the sum of its proper divisors (168690147181920).

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

47149158218400 is a wasteful number, since it uses less digits than its factorization.

47149158218400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2004 (or 1985 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 47149158218400 in words is "forty-seven trillion, one hundred forty-nine billion, one hundred fifty-eight million, two hundred eighteen thousand, four hundred".