44945377354944 has 672 divisors, whose sum is σ = 152098714709760. Its totient is φ = 12540684902400.

The previous prime is 44945377354873. The next prime is 44945377354949.

44945377354944 is a `hidden beast` number, since 4 + 4 + 9 + 4 + 5 + 3 + 7 + 73 + 549 + 4 + 4 = 666.

44945377354944 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×44945377354944² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (44945377354949) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4547741427 + ... + 4547751309.

It is an arithmetic number, because the mean of its divisors is an integer number (226337373080).

Almost surely, 2^{44945377354944} is an apocalyptic number.

44945377354944 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 44945377354944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76049357354880).

44945377354944 is an abundant number, since it is smaller than the sum of its proper divisors (107153337354816).

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

44945377354944 is a wasteful number, since it uses less digits than its factorization.

44945377354944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10989 (or 10976 counting only the distinct ones).

The product of its digits is 3657830400, while the sum is 72.

The spelling of 44945377354944 in words is "forty-four trillion, nine hundred forty-five billion, three hundred seventy-seven million, three hundred fifty-four thousand, nine hundred forty-four".