47245906800 has 840 divisors, whose sum is σ = 182008633440. Its totient is φ = 11757312000.

The previous prime is 47245906781. The next prime is 47245906823. The reversal of 47245906800 is 860954274.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 312886725 + ... + 312886875.

Almost surely, 2^47245906800 is an apocalyptic number.

47245906800 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 47245906800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91004316720).

47245906800 is an abundant number, since it is smaller than the sum of its proper divisors (134762726640).

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

47245906800 is a wasteful number, since it uses less digits than its factorization.

47245906800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 47245906800 in words is "forty-seven billion, two hundred forty-five million, nine hundred six thousand, eight hundred".