14546963340 has 480 divisors, whose sum is σ = 56779519104. Its totient is φ = 3035750400.

The previous prime is 14546963329. The next prime is 14546963363. The reversal of 14546963340 is 4336964541.

14546963340 is a `hidden beast` number, since 1 + 4 + 5 + 4 + 6 + 9 + 633 + 4 + 0 = 666.

It is a super-2 number, since 2×14546963340² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 14888932 + ... + 14889908.

Almost surely, 2^14546963340 is an apocalyptic number.

14546963340 is a gapful number since it is divisible by the number (10) 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 14546963340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28389759552).

14546963340 is an abundant number, since it is smaller than the sum of its proper divisors (42232555764).

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

14546963340 is a wasteful number, since it uses less digits than its factorization.

14546963340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 14546963340 in words is "fourteen billion, five hundred forty-six million, nine hundred sixty-three thousand, three hundred forty".