1465739428608 has 576 divisors, whose sum is σ = 5458870574080. Its totient is φ = 377571704832.

The previous prime is 1465739428591. The next prime is 1465739428619. The reversal of 1465739428608 is 8068249375641.

1465739428608 is a `hidden beast` number, since 1 + 465 + 7 + 3 + 94 + 2 + 86 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1465739428608² (a number of 25 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 27019560 + ... + 27073752.

It is a 1-persistent number, because it is pandigital, but 2⋅1465739428608 = 2931478857216 is not.

Almost surely, 2^{1465739428608} is an apocalyptic number.

1465739428608 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 1465739428608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2729435287040).

1465739428608 is an abundant number, since it is smaller than the sum of its proper divisors (3993131145472).

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

1465739428608 is a wasteful number, since it uses less digits than its factorization.

1465739428608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54281 (or 54261 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 1465739428608 in words is "one trillion, four hundred sixty-five billion, seven hundred thirty-nine million, four hundred twenty-eight thousand, six hundred eight".