734991685938048 has 2048 divisors, whose sum is σ = 2693401946357760. Its totient is φ = 171924531609600.

The previous prime is 734991685937987. The next prime is 734991685938061. The reversal of 734991685938048 is 840839586199437.

It is a super-2 number, since 2×734991685938048² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 251107509961 + ... + 251107512887.

It is an arithmetic number, because the mean of its divisors is an integer number (1315137669120).

Almost surely, 2^{734991685938048} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 734991685938048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346700973178880).

734991685938048 is an abundant number, since it is smaller than the sum of its proper divisors (1958410260419712).

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

734991685938048 is a wasteful number, since it uses less digits than its factorization.

734991685938048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3336 (or 3324 counting only the distinct ones).

The product of its (nonzero) digits is 11287019520, while the sum is 84.

The spelling of 734991685938048 in words is "seven hundred thirty-four trillion, nine hundred ninety-one billion, six hundred eighty-five million, nine hundred thirty-eight thousand, forty-eight".