948213198816 has 96 divisors (see below), whose sum is σ = 2731101922080. Its totient is φ = 286253021184.

The previous prime is 948213198799. The next prime is 948213198851. The reversal of 948213198816 is 618891312849.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×948213198816² (a number of 25 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 948213198816.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7101651 + ... + 7233938.

It is an arithmetic number, because the mean of its divisors is an integer number (28448978355).

Almost surely, 2^948213198816 is an apocalyptic number.

948213198816 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

948213198816 is an abundant number, since it is smaller than the sum of its proper divisors (1782888723264).

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

948213198816 is a wasteful number, since it uses less digits than its factorization.

948213198816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14335668 (or 14335660 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 60.

The spelling of 948213198816 in words is "nine hundred forty-eight billion, two hundred thirteen million, one hundred ninety-eight thousand, eight hundred sixteen".