45347335075944 has 384 divisors, whose sum is σ = 137179036874880. Its totient is φ = 13530368839680.

The previous prime is 45347335075927. The next prime is 45347335075951. The reversal of 45347335075944 is 44957053374354.

45347335075944 is a `hidden beast` number, since 4 + 5 + 3 + 4 + 7 + 3 + 35 + 0 + 7 + 594 + 4 = 666.

It is a super-2 number, since 2×45347335075944² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1831241307 + ... + 1831266069.

It is an arithmetic number, because the mean of its divisors is an integer number (357237075195).

Almost surely, 2^{45347335075944} is an apocalyptic number.

45347335075944 is a gapful number since it is divisible by the number (44) 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 45347335075944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68589518437440).

45347335075944 is an abundant number, since it is smaller than the sum of its proper divisors (91831701798936).

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

45347335075944 is a wasteful number, since it uses less digits than its factorization.

45347335075944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25102 (or 25073 counting only the distinct ones).

The product of its (nonzero) digits is 381024000, while the sum is 63.

The spelling of 45347335075944 in words is "forty-five trillion, three hundred forty-seven billion, three hundred thirty-five million, seventy-five thousand, nine hundred forty-four".