249220816677 has 48 divisors (see below), whose sum is σ = 416417863680. Its totient is φ = 140686593696.

The previous prime is 249220816661. The next prime is 249220816681. The reversal of 249220816677 is 776618022942.

249220816677 is a `hidden beast` number, since 2 + 492 + 2 + 0 + 81 + 6 + 6 + 77 = 666.

It is not a de Polignac number, because 249220816677 - 2⁴ = 249220816661 is a prime.

It is a super-2 number, since 2×249220816677² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249220896677) 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, 2368528 + ... + 2471510.

It is an arithmetic number, because the mean of its divisors is an integer number (8675372160).

Almost surely, 2^249220816677 is an apocalyptic number.

It is an amenable number.

249220816677 is a deficient number, since it is larger than the sum of its proper divisors (167197047003).

249220816677 is a wasteful number, since it uses less digits than its factorization.

249220816677 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103462 (or 103459 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 249220816677 in words is "two hundred forty-nine billion, two hundred twenty million, eight hundred sixteen thousand, six hundred seventy-seven".