45729570348 has 288 divisors, whose sum is σ = 152165744640. Its totient is φ = 11218331520.

The previous prime is 45729570311. The next prime is 45729570377. The reversal of 45729570348 is 84307592754.

It is a happy number.

45729570348 is a `hidden beast` number, since 4 + 5 + 7 + 29 + 570 + 3 + 48 = 666.

It is a super-2 number, since 2×45729570348² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45729570294 and 45729570303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20170711 + ... + 20172977.

It is an arithmetic number, because the mean of its divisors is an integer number (528353280).

Almost surely, 2^45729570348 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 45729570348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76082872320).

45729570348 is an abundant number, since it is smaller than the sum of its proper divisors (106436174292).

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

45729570348 is a wasteful number, since it uses less digits than its factorization.

45729570348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2697 (or 2692 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 45729570348 in words is "forty-five billion, seven hundred twenty-nine million, five hundred seventy thousand, three hundred forty-eight".