145941476229376 has 81 divisors (see below), whose sum is σ = 295386680477469. Its totient is φ = 71964180523008.

The previous prime is 145941476229361. The next prime is 145941476229379. The reversal of 145941476229376 is 673922674149541.

The square root of 145941476229376 is 12080624.

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., 82843491385600 + 63097984843776 = 9101840^2 + 7943424^2 .

It is not an unprimeable number, because it can be changed into a prime (145941476229379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14110163661 + ... + 14110174003.

Almost surely, 2^{145941476229376} is an apocalyptic number.

145941476229376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

145941476229376 is the 12080624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145941476229376

145941476229376 is an abundant number, since it is smaller than the sum of its proper divisors (149445204248093).

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

145941476229376 is an frugal number, since it uses more digits than its factorization.

145941476229376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20848 (or 10418 counting only the distinct ones).

The product of its digits is 548674560, while the sum is 70.

The spelling of 145941476229376 in words is "one hundred forty-five trillion, nine hundred forty-one billion, four hundred seventy-six million, two hundred twenty-nine thousand, three hundred seventy-six".