249351473961 has 48 divisors (see below), whose sum is σ = 368016974208. Its totient is φ = 162654912000.

The previous prime is 249351473951. The next prime is 249351473963. The reversal of 249351473961 is 169374153942.

249351473961 is a `hidden beast` number, since 2 + 4 + 93 + 514 + 7 + 39 + 6 + 1 = 666.

It is not a de Polignac number, because 249351473961 - 2²⁶ = 249284365097 is a prime.

It is a super-3 number, since 3×249351473961³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 249351473898 and 249351473907.

It is not an unprimeable number, because it can be changed into a prime (249351473963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48880311 + ... + 48885411.

It is an arithmetic number, because the mean of its divisors is an integer number (7667020296).

Almost surely, 2^249351473961 is an apocalyptic number.

It is an amenable number.

249351473961 is a deficient number, since it is larger than the sum of its proper divisors (118665500247).

249351473961 is a wasteful number, since it uses less digits than its factorization.

249351473961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5742 (or 5739 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The spelling of 249351473961 in words is "two hundred forty-nine billion, three hundred fifty-one million, four hundred seventy-three thousand, nine hundred sixty-one".