145669301170848 has 1344 divisors, whose sum is σ = 538378751877120. Its totient is φ = 37758466400256.

The previous prime is 145669301170837. The next prime is 145669301170903. The reversal of 145669301170848 is 848071103966541.

145669301170848 is a `hidden beast` number, since 1 + 456 + 6 + 9 + 3 + 0 + 1 + 170 + 8 + 4 + 8 = 666.

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 223 ways as a sum of consecutive naturals, for example, 29386582386 + ... + 29386587342.

It is an arithmetic number, because the mean of its divisors is an integer number (400579428480).

Almost surely, 2^{145669301170848} is an apocalyptic number.

145669301170848 is a gapful number since it is divisible by the number (18) 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 145669301170848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269189375938560).

145669301170848 is an abundant number, since it is smaller than the sum of its proper divisors (392709450706272).

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

145669301170848 is a wasteful number, since it uses less digits than its factorization.

145669301170848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5241 (or 5218 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 145669301170848 in words is "one hundred forty-five trillion, six hundred sixty-nine billion, three hundred one million, one hundred seventy thousand, eight hundred forty-eight".