10454516064 has 72 divisors (see below), whose sum is σ = 30362623200. Its totient is φ = 3410688768.

The previous prime is 10454516057. The next prime is 10454516101. The reversal of 10454516064 is 46061545401.

10454516064 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 45 + 1 + 606 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×10454516064² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 372639 + ... + 399710.

It is an arithmetic number, because the mean of its divisors is an integer number (421703100).

Almost surely, 2^10454516064 is an apocalyptic number.

It is an amenable number.

10454516064 is an abundant number, since it is smaller than the sum of its proper divisors (19908107136).

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

10454516064 is a wasteful number, since it uses less digits than its factorization.

10454516064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772412 (or 772401 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 10454516064 in words is "ten billion, four hundred fifty-four million, five hundred sixteen thousand, sixty-four".