45683507950080 has 2560 divisors, whose sum is σ = 200932851474432. Its totient is φ = 8619912069120.

The previous prime is 45683507950043. The next prime is 45683507950151. The reversal of 45683507950080 is 8005970538654.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 45683507949996 and 45683507950023.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 62324021394 + ... + 62324022126.

Almost surely, 2^{45683507950080} is an apocalyptic number.

45683507950080 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 45683507950080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100466425737216).

45683507950080 is an abundant number, since it is smaller than the sum of its proper divisors (155249343524352).

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

45683507950080 is a wasteful number, since it uses less digits than its factorization.

45683507950080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 60.

The spelling of 45683507950080 in words is "forty-five trillion, six hundred eighty-three billion, five hundred seven million, nine hundred fifty thousand, eighty".