45451635000 has 160 divisors (see below), whose sum is σ = 142176988800. Its totient is φ = 12104560000.

The previous prime is 45451634933. The next prime is 45451635041. The reversal of 45451635000 is 53615454.

It is a super-2 number, since 2×45451635000² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15463531 + ... + 15466469.

It is an arithmetic number, because the mean of its divisors is an integer number (888606180).

Almost surely, 2^45451635000 is an apocalyptic number.

45451635000 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 45451635000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71088494400).

45451635000 is an abundant number, since it is smaller than the sum of its proper divisors (96725353800).

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

45451635000 is a wasteful number, since it uses less digits than its factorization.

45451635000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3999 (or 3980 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The spelling of 45451635000 in words is "forty-five billion, four hundred fifty-one million, six hundred thirty-five thousand".