45371491200 has 768 divisors, whose sum is σ = 193767360000. Its totient is φ = 10363852800.

The previous prime is 45371491189. The next prime is 45371491211. The reversal of 45371491200 is 219417354.

45371491200 is a `hidden beast` number, since 4 + 537 + 14 + 91 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (45371491189) and next prime (45371491211).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29634435 + ... + 29635965.

It is an arithmetic number, because the mean of its divisors is an integer number (252301250).

Almost surely, 2^45371491200 is an apocalyptic number.

45371491200 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 45371491200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96883680000).

45371491200 is an abundant number, since it is smaller than the sum of its proper divisors (148395868800).

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

45371491200 is a wasteful number, since it uses less digits than its factorization.

45371491200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 45371491200 in words is "forty-five billion, three hundred seventy-one million, four hundred ninety-one thousand, two hundred".