45967290248808 has 96 divisors (see below), whose sum is σ = 124820444548800. Its totient is φ = 15282360681984.

The previous prime is 45967290248773. The next prime is 45967290248837. The reversal of 45967290248808 is 80884209276954.

45967290248808 is a `hidden beast` number, since 4 + 5 + 96 + 7 + 290 + 248 + 8 + 0 + 8 = 666.

It is a super-2 number, since 2×45967290248808² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 133260816 + ... + 133605312.

It is an arithmetic number, because the mean of its divisors is an integer number (1300212964050).

Almost surely, 2^{45967290248808} is an apocalyptic number.

It is an amenable number.

45967290248808 is an abundant number, since it is smaller than the sum of its proper divisors (78853154299992).

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

45967290248808 is a wasteful number, since it uses less digits than its factorization.

45967290248808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349351 (or 349344 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 45967290248808 in words is "forty-five trillion, nine hundred sixty-seven billion, two hundred ninety million, two hundred forty-eight thousand, eight hundred eight".