145761921313344 has 1792 divisors, whose sum is σ = 527570819481600. Its totient is φ = 38587672166400.

The previous prime is 145761921313277. The next prime is 145761921313367. The reversal of 145761921313344 is 443313129167541.

145761921313344 is a `hidden beast` number, since 1 + 4 + 5 + 7 + 619 + 2 + 1 + 3 + 13 + 3 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 338194712809 + ... + 338194713239.

Almost surely, 2^{145761921313344} is an apocalyptic number.

145761921313344 is a gapful number since it is divisible by the number (14) 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 145761921313344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263785409740800).

145761921313344 is an abundant number, since it is smaller than the sum of its proper divisors (381808898168256).

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

145761921313344 is a wasteful number, since it uses less digits than its factorization.

145761921313344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 873 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 145761921313344 in words is "one hundred forty-five trillion, seven hundred sixty-one billion, nine hundred twenty-one million, three hundred thirteen thousand, three hundred forty-four".