45525134451240 has 192 divisors, whose sum is σ = 155980230120000. Its totient is φ = 11483633129472.

The previous prime is 45525134451233. The next prime is 45525134451257. The reversal of 45525134451240 is 4215443152554.

45525134451240 is a `hidden beast` number, since 4 + 5 + 5 + 2 + 51 + 3 + 44 + 512 + 40 = 666.

45525134451240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 542305 + ... + 9557424.

It is an arithmetic number, because the mean of its divisors is an integer number (812397031875).

Almost surely, 2^{45525134451240} is an apocalyptic number.

45525134451240 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 45525134451240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77990115060000).

45525134451240 is an abundant number, since it is smaller than the sum of its proper divisors (110455095668760).

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

45525134451240 is a wasteful number, since it uses less digits than its factorization.

45525134451240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10100424 (or 10100417 counting only the distinct ones).

The product of its (nonzero) digits is 1920000, while the sum is 45.

The spelling of 45525134451240 in words is "forty-five trillion, five hundred twenty-five billion, one hundred thirty-four million, four hundred fifty-one thousand, two hundred forty".