948746131200 has 1080 divisors, whose sum is σ = 4085553070368. Its totient is φ = 212721500160.

The previous prime is 948746131171. The next prime is 948746131243. The reversal of 948746131200 is 2131647849.

948746131200 is a `hidden beast` number, since 9 + 4 + 8 + 7 + 4 + 613 + 1 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×948746131200² (a number of 25 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 192323934 + ... + 192328866.

Almost surely, 2^948746131200 is an apocalyptic number.

948746131200 is a gapful number since it is divisible by the number (90) 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 948746131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2042776535184).

948746131200 is an abundant number, since it is smaller than the sum of its proper divisors (3136806939168).

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

948746131200 is a wasteful number, since it uses less digits than its factorization.

948746131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5031 (or 5003 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 948746131200 in words is "nine hundred forty-eight billion, seven hundred forty-six million, one hundred thirty-one thousand, two hundred".