147347444514816 has 1440 divisors, whose sum is σ = 553920630144000. Its totient is φ = 38363158020096.

The previous prime is 147347444514769. The next prime is 147347444514821. The reversal of 147347444514816 is 618415444743741.

It is a happy number.

147347444514816 is a `hidden beast` number, since 1 + 4 + 7 + 3 + 4 + 74 + 44 + 514 + 8 + 1 + 6 = 666.

It is a super-2 number, since 2×147347444514816² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22261281555 + ... + 22261288173.

Almost surely, 2^{147347444514816} is an apocalyptic number.

147347444514816 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 147347444514816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276960315072000).

147347444514816 is an abundant number, since it is smaller than the sum of its proper divisors (406573185629184).

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

147347444514816 is an equidigital number, since it uses as much as digits as its factorization.

147347444514816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6762 (or 6723 counting only the distinct ones).

The product of its digits is 144506880, while the sum is 63.

The spelling of 147347444514816 in words is "one hundred forty-seven trillion, three hundred forty-seven billion, four hundred forty-four million, five hundred fourteen thousand, eight hundred sixteen".