45321884748 has 192 divisors, whose sum is σ = 142674739200. Its totient is φ = 12164463360.

The previous prime is 45321884731. The next prime is 45321884759. The reversal of 45321884748 is 84748812354.

45321884748 is a `hidden beast` number, since 453 + 2 + 188 + 4 + 7 + 4 + 8 = 666.

It is a super-2 number, since 2×45321884748² (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 a junction number, because it is equal to n+sod(n) for n = 45321884694 and 45321884703.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 783253 + ... + 839123.

It is an arithmetic number, because the mean of its divisors is an integer number (743097600).

Almost surely, 2^45321884748 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45321884748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71337369600).

45321884748 is an abundant number, since it is smaller than the sum of its proper divisors (97352854452).

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

45321884748 is a wasteful number, since it uses less digits than its factorization.

45321884748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55957 (or 55949 counting only the distinct ones).

The product of its digits is 6881280, while the sum is 54.

The spelling of 45321884748 in words is "forty-five billion, three hundred twenty-one million, eight hundred eighty-four thousand, seven hundred forty-eight".