948249533376 has 168 divisors, whose sum is σ = 2803508429040. Its totient is φ = 314290271232.

The previous prime is 948249533353. The next prime is 948249533381. The reversal of 948249533376 is 673335942849.

948249533376 is a `hidden beast` number, since 9 + 4 + 8 + 24 + 9 + 533 + 3 + 76 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 568153470 + ... + 568155138.

Almost surely, 2^948249533376 is an apocalyptic number.

948249533376 is a gapful number since it is divisible by the number (96) 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 948249533376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401754214520).

948249533376 is an abundant number, since it is smaller than the sum of its proper divisors (1855258895664).

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

948249533376 is an equidigital number, since it uses as much as digits as its factorization.

948249533376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3556 (or 1871 counting only the distinct ones).

The product of its digits is 117573120, while the sum is 63.

The spelling of 948249533376 in words is "nine hundred forty-eight billion, two hundred forty-nine million, five hundred thirty-three thousand, three hundred seventy-six".