45967290248880 has 1600 divisors, whose sum is σ = 221272573648896. Its totient is φ = 8532449280000.

The previous prime is 45967290248879. The next prime is 45967290248897. The reversal of 45967290248880 is 8884209276954.

45967290248880 is a `hidden beast` number, since 4 + 5 + 9 + 67 + 2 + 9 + 0 + 2 + 488 + 80 = 666.

It is a super-2 number, since 2×45967290248880² (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 a junction number, because it is equal to n+sod(n) for n = 45967290248799 and 45967290248808.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 200966580 + ... + 201195180.

Almost surely, 2^{45967290248880} is an apocalyptic number.

45967290248880 is a gapful number since it is divisible by the number (40) 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 45967290248880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110636286824448).

45967290248880 is an abundant number, since it is smaller than the sum of its proper divisors (175305283400016).

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

45967290248880 is a wasteful number, since it uses less digits than its factorization.

45967290248880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228688 (or 228673 counting only the distinct ones).

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

The spelling of 45967290248880 in words is "forty-five trillion, nine hundred sixty-seven billion, two hundred ninety million, two hundred forty-eight thousand, eight hundred eighty".