261933315948 has 48 divisors (see below), whose sum is σ = 679122209920. Its totient is φ = 87306498000.

The previous prime is 261933315929. The next prime is 261933315967. The reversal of 261933315948 is 849513339162.

261933315948 is a `hidden beast` number, since 2 + 6 + 19 + 3 + 3 + 31 + 594 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (261933315929) and next prime (261933315967).

It is a super-2 number, since 2×261933315948² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 261933315894 and 261933315903.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2445723 + ... + 2550573.

Almost surely, 2^261933315948 is an apocalyptic number.

It is an amenable number.

261933315948 is an abundant number, since it is smaller than the sum of its proper divisors (417188893972).

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

261933315948 is a wasteful number, since it uses less digits than its factorization.

261933315948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127995 (or 127987 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

The spelling of 261933315948 in words is "two hundred sixty-one billion, nine hundred thirty-three million, three hundred fifteen thousand, nine hundred forty-eight".