45409915961344 has 153 divisors (see below), whose sum is σ = 99867729053449. Its totient is φ = 20632245370880.

The previous prime is 45409915961317. The next prime is 45409915961353. The reversal of 45409915961344 is 44316951990454.

It is a happy number.

The square root of 45409915961344 is 6738688.

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

It can be written as a sum of positive squares in only one way, i.e., 943851110400 + 44466064850944 = 971520^2 + 6668288^2 .

It is a super-4 number, since 4×45409915961344⁴ (a number of 56 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18976144212 + ... + 18976146604.

Almost surely, 2^{45409915961344} is an apocalyptic number.

45409915961344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

45409915961344 is the 6738688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45409915961344

45409915961344 is an abundant number, since it is smaller than the sum of its proper divisors (54457813092105).

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

45409915961344 is an frugal number, since it uses more digits than its factorization.

45409915961344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4840 (or 2406 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 64.

45409915961344 divided by its sum of digits (64) gives a square (709529936896 = 842336²).

The spelling of 45409915961344 in words is "forty-five trillion, four hundred nine billion, nine hundred fifteen million, nine hundred sixty-one thousand, three hundred forty-four".