45137758519296 has 357 divisors, whose sum is σ = 135413209939231. Its totient is φ = 15045919506432.

The previous prime is 45137758519267. The next prime is 45137758519319. The reversal of 45137758519296 is 69291585773154.

The square root of 45137758519296 is 6718464.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (4!)² ⋅ (3!)¹⁴.

45137758519296 is a `hidden beast` number, since 4 + 5 + 1 + 3 + 7 + 7 + 585 + 19 + 29 + 6 = 666.

It is an ABA number since it can be written as A⋅B^A, here for A=16, B=6.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

Its product of digits (571536000) is a multiple of the sum of its prime divisors (5).

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 16 ways as a sum of consecutive naturals, for example, 15045919506431 + 15045919506432 + 15045919506433.

Almost surely, 2^{45137758519296} is an apocalyptic number.

45137758519296 is the 6718464-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45137758519296

45137758519296 is an abundant number, since it is smaller than the sum of its proper divisors (90275451419935).

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

45137758519296 is an frugal number, since it uses more digits than its factorization.

45137758519296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 5 counting only the distinct ones).

The product of its digits is 571536000, while the sum is 72.

The spelling of 45137758519296 in words is "forty-five trillion, one hundred thirty-seven billion, seven hundred fifty-eight million, five hundred nineteen thousand, two hundred ninety-six".