1465256553345 has 32 divisors (see below), whose sum is σ = 2805277507200. Its totient is φ = 721357071552.

The previous prime is 1465256553323. The next prime is 1465256553347. The reversal of 1465256553345 is 5433556525641.

1465256553345 is a `hidden beast` number, since 1 + 4 + 6 + 5 + 2 + 5 + 65 + 533 + 45 = 666.

It is not a de Polignac number, because 1465256553345 - 2¹² = 1465256549249 is a prime.

It is a super-3 number, since 3×1465256553345³ (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1465256553291 and 1465256553300.

It is not an unprimeable number, because it can be changed into a prime (1465256553347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 417450255 + ... + 417453764.

It is an arithmetic number, because the mean of its divisors is an integer number (87664922100).

Almost surely, 2^{1465256553345} is an apocalyptic number.

1465256553345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1465256553345 is a deficient number, since it is larger than the sum of its proper divisors (1340020953855).

1465256553345 is a wasteful number, since it uses less digits than its factorization.

1465256553345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834904046 (or 834904040 counting only the distinct ones).

The product of its digits is 32400000, while the sum is 54.

The spelling of 1465256553345 in words is "one trillion, four hundred sixty-five billion, two hundred fifty-six million, five hundred fifty-three thousand, three hundred forty-five".