147211096431364 has 81 divisors (see below), whose sum is σ = 316289421452277. Its totient is φ = 59768608481568.

The previous prime is 147211096431361. The next prime is 147211096431389. The reversal of 147211096431364 is 463134690112741.

The square root of 147211096431364 is 12133058.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4006602722500 + 143204493708864 = 2001650^2 + 11966808^2 .

It is a super-2 number, since 2×147211096431364² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (147211096431361) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3227370622 + ... + 3227416234.

Almost surely, 2^{147211096431364} is an apocalyptic number.

147211096431364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

147211096431364 is the 12133058-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147211096431364

147211096431364 is an abundant number, since it is smaller than the sum of its proper divisors (169078325020913).

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

147211096431364 is an frugal number, since it uses more digits than its factorization.

147211096431364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91282 (or 45641 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 52.

The spelling of 147211096431364 in words is "one hundred forty-seven trillion, two hundred eleven billion, ninety-six million, four hundred thirty-one thousand, three hundred sixty-four".