45739921033248 has 192 divisors, whose sum is σ = 129720788370432. Its totient is φ = 14028392125440.

The previous prime is 45739921033211. The next prime is 45739921033273. The reversal of 45739921033248 is 84233012993754.

It is a happy number.

It is a super-2 number, since 2×45739921033248² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45739921033191 and 45739921033200.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2843276661 + ... + 2843292747.

It is an arithmetic number, because the mean of its divisors is an integer number (675629106096).

Almost surely, 2^{45739921033248} is an apocalyptic number.

45739921033248 is a gapful number since it is divisible by the number (48) 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 45739921033248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64860394185216).

45739921033248 is an abundant number, since it is smaller than the sum of its proper divisors (83980867337184).

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

45739921033248 is a wasteful number, since it uses less digits than its factorization.

45739921033248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23327 (or 23319 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 60.

The spelling of 45739921033248 in words is "forty-five trillion, seven hundred thirty-nine billion, nine hundred twenty-one million, thirty-three thousand, two hundred forty-eight".