73714346754048 has 2052 divisors, whose sum is σ = 293479706171808. Its totient is φ = 17673769451520.

The previous prime is 73714346754047. The next prime is 73714346754089. The reversal of 73714346754048 is 84045764341737.

73714346754048 is a `hidden beast` number, since 7 + 3 + 7 + 1 + 4 + 3 + 46 + 7 + 540 + 48 = 666.

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 (73714346754047) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5670334365690 + ... + 5670334365702.

It is an arithmetic number, because the mean of its divisors is an integer number (143021299304).

Almost surely, 2^{73714346754048} is an apocalyptic number.

73714346754048 is a gapful number since it is divisible by the number (78) 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 73714346754048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146739853085904).

73714346754048 is an abundant number, since it is smaller than the sum of its proper divisors (219765359417760).

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

73714346754048 is an frugal number, since it uses more digits than its factorization.

73714346754048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 189665280, while the sum is 63.

The spelling of 73714346754048 in words is "seventy-three trillion, seven hundred fourteen billion, three hundred forty-six million, seven hundred fifty-four thousand, forty-eight".