45330919014976 has 189 divisors, whose sum is σ = 105278174221107. Its totient is φ = 19309739232000.

The previous prime is 45330919014973. The next prime is 45330919015013. The reversal of 45330919014976 is 67941091903354.

The square root of 45330919014976 is 6732824.

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

It is a super-2 number, since 2×45330919014976² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45330919014973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 94636573905 + ... + 94636574383.

Almost surely, 2^{45330919014976} is an apocalyptic number.

45330919014976 is the 6732824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45330919014976

45330919014976 is an abundant number, since it is smaller than the sum of its proper divisors (59947255206131).

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

45330919014976 is an frugal number, since it uses more digits than its factorization.

45330919014976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 61.

The spelling of 45330919014976 in words is "forty-five trillion, three hundred thirty billion, nine hundred nineteen million, fourteen thousand, nine hundred seventy-six".