49173716644416 has 1120 divisors, whose sum is σ = 192266042411520. Its totient is φ = 12069657870336.

The previous prime is 49173716644411. The next prime is 49173716644477. The reversal of 49173716644416 is 61444661737194.

49173716644416 is a `hidden beast` number, since 4 + 9 + 17 + 3 + 7 + 166 + 44 + 416 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (49173716644411) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 401392900 + ... + 401515388.

It is an arithmetic number, because the mean of its divisors is an integer number (171666109296).

Almost surely, 2^{49173716644416} is an apocalyptic number.

49173716644416 is a gapful number since it is divisible by the number (46) 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 49173716644416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96133021205760).

49173716644416 is an abundant number, since it is smaller than the sum of its proper divisors (143092325767104).

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

49173716644416 is a wasteful number, since it uses less digits than its factorization.

49173716644416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122593 (or 122574 counting only the distinct ones).

The product of its digits is 73156608, while the sum is 63.

The spelling of 49173716644416 in words is "forty-nine trillion, one hundred seventy-three billion, seven hundred sixteen million, six hundred forty-four thousand, four hundred sixteen".