45289651200 has 264 divisors, whose sum is σ = 152881619712. Its totient is φ = 11819335680.

The previous prime is 45289651189. The next prime is 45289651241. The reversal of 45289651200 is 215698254.

It is a super-2 number, since 2×45289651200² (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 23 ways as a sum of consecutive naturals, for example, 3603327 + ... + 3615873.

Almost surely, 2^45289651200 is an apocalyptic number.

45289651200 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 45289651200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76440809856).

45289651200 is an abundant number, since it is smaller than the sum of its proper divisors (107591968512).

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

45289651200 is a wasteful number, since it uses less digits than its factorization.

45289651200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12627 (or 12604 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 45289651200 in words is "forty-five billion, two hundred eighty-nine million, six hundred fifty-one thousand, two hundred".