1465139705472 has 192 divisors, whose sum is σ = 4391525829600. Its totient is φ = 486226105344.

The previous prime is 1465139705467. The next prime is 1465139705489. The reversal of 1465139705472 is 2745079315641.

1465139705472 is a `hidden beast` number, since 1 + 4 + 6 + 5 + 1 + 3 + 97 + 0 + 547 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6956854 + ... + 7164362.

Almost surely, 2^{1465139705472} is an apocalyptic number.

1465139705472 is a gapful number since it is divisible by the number (12) 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 1465139705472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2195762914800).

1465139705472 is an abundant number, since it is smaller than the sum of its proper divisors (2926386124128).

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

1465139705472 is an equidigital number, since it uses as much as digits as its factorization.

1465139705472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207765 (or 207741 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 1465139705472 in words is "one trillion, four hundred sixty-five billion, one hundred thirty-nine million, seven hundred five thousand, four hundred seventy-two".