45963553680 has 900 divisors, whose sum is σ = 184285384668. Its totient is φ = 10606464000.

The previous prime is 45963553651. The next prime is 45963553703. The reversal of 45963553680 is 8635536954.

It is a happy number.

45963553680 is a `hidden beast` number, since 4 + 5 + 9 + 6 + 3 + 553 + 6 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7384308624 + 38579245056 = 85932^2 + 196416^2 .

It is a super-2 number, since 2×45963553680² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 753500850 + ... + 753500910.

Almost surely, 2^45963553680 is an apocalyptic number.

45963553680 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 45963553680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92142692334).

45963553680 is an abundant number, since it is smaller than the sum of its proper divisors (138321830988).

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

45963553680 is a wasteful number, since it uses less digits than its factorization.

45963553680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

It can be divided in two parts, 459635 and 53680, that added together give a palindrome (513315).

The spelling of 45963553680 in words is "forty-five billion, nine hundred sixty-three million, five hundred fifty-three thousand, six hundred eighty".