45511829760 has 144 divisors (see below), whose sum is σ = 150365960640. Its totient is φ = 11717959680.

The previous prime is 45511829749. The next prime is 45511829813. The reversal of 45511829760 is 6792811554.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92986 + ... + 315705.

It is an arithmetic number, because the mean of its divisors is an integer number (1044208060).

Almost surely, 2^45511829760 is an apocalyptic number.

45511829760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45511829760 is an abundant number, since it is smaller than the sum of its proper divisors (104854130880).

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

45511829760 is a wasteful number, since it uses less digits than its factorization.

45511829760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408744 (or 408730 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The spelling of 45511829760 in words is "forty-five billion, five hundred eleven million, eight hundred twenty-nine thousand, seven hundred sixty".