45293601369408 has 224 divisors, whose sum is σ = 137496045072384. Its totient is φ = 12890341029888.

The previous prime is 45293601369397. The next prime is 45293601369421. The reversal of 45293601369408 is 80496310639254.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1052412466 + ... + 1052455502.

Almost surely, 2^{45293601369408} is an apocalyptic number.

45293601369408 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 45293601369408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68748022536192).

45293601369408 is an abundant number, since it is smaller than the sum of its proper divisors (92202443702976).

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

45293601369408 is a wasteful number, since it uses less digits than its factorization.

45293601369408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46109 (or 46099 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 60.

The spelling of 45293601369408 in words is "forty-five trillion, two hundred ninety-three billion, six hundred one million, three hundred sixty-nine thousand, four hundred eight".