105465725374464 has 2496 divisors, whose sum is σ = 407972882580480. Its totient is φ = 26665235251200.

The previous prime is 105465725374423. The next prime is 105465725374481. The reversal of 105465725374464 is 464473527564501.

105465725374464 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 6 + 57 + 2 + 53 + 74 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a super-2 number, since 2×105465725374464² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 175483735764 + ... + 175483736364.

Almost surely, 2^{105465725374464} is an apocalyptic number.

105465725374464 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 105465725374464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203986441290240).

105465725374464 is an abundant number, since it is smaller than the sum of its proper divisors (302507157206016).

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

105465725374464 is a wasteful number, since it uses less digits than its factorization.

105465725374464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 338688000, while the sum is 63.

The spelling of 105465725374464 in words is "one hundred five trillion, four hundred sixty-five billion, seven hundred twenty-five million, three hundred seventy-four thousand, four hundred sixty-four".