49404616716672 has 1152 divisors, whose sum is σ = 179995278677760. Its totient is φ = 13209817042944.

The previous prime is 49404616716659. The next prime is 49404616716673. The reversal of 49404616716672 is 27661761640494.

49404616716672 is a `hidden beast` number, since 4 + 9 + 4 + 0 + 4 + 616 + 7 + 1 + 6 + 6 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49404616716673) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6523780278 + ... + 6523787850.

It is an arithmetic number, because the mean of its divisors is an integer number (156245901630).

Almost surely, 2^{49404616716672} is an apocalyptic number.

49404616716672 is a gapful number since it is divisible by the number (42) 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 49404616716672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89997639338880).

49404616716672 is an abundant number, since it is smaller than the sum of its proper divisors (130590661961088).

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

49404616716672 is an equidigital number, since it uses as much as digits as its factorization.

49404616716672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7730 (or 7687 counting only the distinct ones).

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

The spelling of 49404616716672 in words is "forty-nine trillion, four hundred four billion, six hundred sixteen million, seven hundred sixteen thousand, six hundred seventy-two".