734316786649152 has 168 divisors, whose sum is σ = 2408779039395456. Its totient is φ = 209516205533184.

The previous prime is 734316786649079. The next prime is 734316786649163. The reversal of 734316786649152 is 251946687613437.

734316786649152 is a `hidden beast` number, since 7 + 3 + 4 + 3 + 1 + 6 + 7 + 86 + 6 + 491 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×734316786649152² (a number of 31 digits) contains 22 as substring.

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

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 23 ways as a sum of consecutive naturals, for example, 122324733 + ... + 128187260.

It is an arithmetic number, because the mean of its divisors is an integer number (14337970472592).

Almost surely, 2^{734316786649152} is an apocalyptic number.

734316786649152 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

734316786649152 is an abundant number, since it is smaller than the sum of its proper divisors (1674462252746304).

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

734316786649152 is a wasteful number, since it uses less digits than its factorization.

734316786649152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250512745 (or 250512732 counting only the distinct ones).

The product of its digits is 1097349120, while the sum is 72.

The spelling of 734316786649152 in words is "seven hundred thirty-four trillion, three hundred sixteen billion, seven hundred eighty-six million, six hundred forty-nine thousand, one hundred fifty-two".