64145691456 has 1008 divisors, whose sum is σ = 243062223552. Its totient is φ = 14708736000.

The previous prime is 64145691451. The next prime is 64145691457. The reversal of 64145691456 is 65419654146.

64145691456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×64145691456² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

Its product of digits (3110400) is a multiple of the sum of its prime divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 64145691399 and 64145691408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64145691451) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 635105806 + ... + 635105906.

Almost surely, 2^64145691456 is an apocalyptic number.

64145691456 is a gapful number since it is divisible by the number (66) 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 64145691456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121531111776).

64145691456 is an abundant number, since it is smaller than the sum of its proper divisors (178916532096).

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

64145691456 is a wasteful number, since it uses less digits than its factorization.

64145691456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 160 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 51.

The spelling of 64145691456 in words is "sixty-four billion, one hundred forty-five million, six hundred ninety-one thousand, four hundred fifty-six".