123790070016 has 288 divisors, whose sum is σ = 388950307200. Its totient is φ = 38761390080.

The previous prime is 123790069951. The next prime is 123790070039. The reversal of 123790070016 is 610070097321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7408231 + ... + 7424921.

It is an arithmetic number, because the mean of its divisors is an integer number (1350521900).

Almost surely, 2^123790070016 is an apocalyptic number.

123790070016 is a gapful number since it is divisible by the number (16) 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 123790070016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194475153600).

123790070016 is an abundant number, since it is smaller than the sum of its proper divisors (265160237184).

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

123790070016 is a wasteful number, since it uses less digits than its factorization.

123790070016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16782 (or 16762 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The spelling of 123790070016 in words is "one hundred twenty-three billion, seven hundred ninety million, seventy thousand, sixteen".