45734633910 has 192 divisors, whose sum is σ = 141186898944. Its totient is φ = 10434614400.

The previous prime is 45734633821. The next prime is 45734633921. The reversal of 45734633910 is 1933643754.

45734633910 is a `hidden beast` number, since 4 + 5 + 7 + 3 + 4 + 633 + 9 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10731180 + ... + 10735440.

It is an arithmetic number, because the mean of its divisors is an integer number (735348432).

Almost surely, 2^45734633910 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45734633910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70593449472).

45734633910 is an abundant number, since it is smaller than the sum of its proper divisors (95452265034).

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

45734633910 is a wasteful number, since it uses less digits than its factorization.

45734633910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4921 (or 4909 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 45734633910 in words is "forty-five billion, seven hundred thirty-four million, six hundred thirty-three thousand, nine hundred ten".