45964105778880 has 336 divisors, whose sum is σ = 162004372358400. Its totient is φ = 11957361960960.

The previous prime is 45964105778867. The next prime is 45964105778909. The reversal of 45964105778880 is 8887750146954.

It is a happy number.

45964105778880 is a `hidden beast` number, since 4 + 5 + 9 + 6 + 41 + 0 + 577 + 8 + 8 + 8 + 0 = 666.

It is a super-2 number, since 2×45964105778880² (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 = 45964105778799 and 45964105778808.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21227061 + ... + 23291979.

Almost surely, 2^{45964105778880} is an apocalyptic number.

45964105778880 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 45964105778880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81002186179200).

45964105778880 is an abundant number, since it is smaller than the sum of its proper divisors (116040266579520).

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

45964105778880 is a wasteful number, since it uses less digits than its factorization.

45964105778880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2065132 (or 2065119 counting only the distinct ones).

The product of its (nonzero) digits is 541900800, while the sum is 72.

The spelling of 45964105778880 in words is "forty-five trillion, nine hundred sixty-four billion, one hundred five million, seven hundred seventy-eight thousand, eight hundred eighty".