145429996638096 has 135 divisors (see below), whose sum is σ = 416705117450427. Its totient is φ = 47347275245760.

The previous prime is 145429996637983. The next prime is 145429996638109. The reversal of 145429996638096 is 690836699924541.

The square root of 145429996638096 is 12059436.

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

145429996638096 is a `hidden beast` number, since 1 + 4 + 5 + 4 + 2 + 9 + 99 + 66 + 380 + 96 = 666.

It is a super-2 number, since 2×145429996638096² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6222657291 + ... + 6222680661.

Almost surely, 2^{145429996638096} is an apocalyptic number.

145429996638096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

145429996638096 is the 12059436-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145429996638096

145429996638096 is an abundant number, since it is smaller than the sum of its proper divisors (271275120812331).

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

145429996638096 is an frugal number, since it uses more digits than its factorization.

145429996638096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46842 (or 23419 counting only the distinct ones).

The product of its (nonzero) digits is 5441955840, while the sum is 81.

The spelling of 145429996638096 in words is "one hundred forty-five trillion, four hundred twenty-nine billion, nine hundred ninety-six million, six hundred thirty-eight thousand, ninety-six".