145660031119680 has 3584 divisors, whose sum is σ = 625089341030400. Its totient is φ = 28686873600000.

The previous prime is 145660031119643. The next prime is 145660031119709. The reversal of 145660031119680 is 86911130066541.

It is a super-2 number, since 2×145660031119680² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 964635967605 + ... + 964635967755.

Almost surely, 2^{145660031119680} is an apocalyptic number.

145660031119680 is a gapful number since it is divisible by the number (10) 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 145660031119680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312544670515200).

145660031119680 is an abundant number, since it is smaller than the sum of its proper divisors (479429309910720).

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

145660031119680 is a wasteful number, since it uses less digits than its factorization.

145660031119680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 51.

The spelling of 145660031119680 in words is "one hundred forty-five trillion, six hundred sixty billion, thirty-one million, one hundred nineteen thousand, six hundred eighty".