15346450812672 has 720 divisors, whose sum is σ = 54270799968000. Its totient is φ = 4310265415680.

The previous prime is 15346450812661. The next prime is 15346450812673. The reversal of 15346450812672 is 27621805464351.

15346450812672 is a `hidden beast` number, since 1 + 5 + 3 + 4 + 6 + 4 + 508 + 126 + 7 + 2 = 666.

It is a super-2 number, since 2×15346450812672² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15346450812673) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 419616147 + ... + 419652717.

Almost surely, 2^{15346450812672} is an apocalyptic number.

15346450812672 is a gapful number since it is divisible by the number (12) 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 15346450812672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27135399984000).

15346450812672 is an abundant number, since it is smaller than the sum of its proper divisors (38924349155328).

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

15346450812672 is an frugal number, since it uses more digits than its factorization.

15346450812672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36679 (or 36642 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 15346450812672 in words is "fifteen trillion, three hundred forty-six billion, four hundred fifty million, eight hundred twelve thousand, six hundred seventy-two".