10614755970 has 640 divisors, whose sum is σ = 38253067776. Its totient is φ = 2048385024.

The previous prime is 10614755951. The next prime is 10614755993. The reversal of 10614755970 is 7955741601.

10614755970 is a `hidden beast` number, since 1 + 0 + 61 + 475 + 59 + 70 = 666.

It is a super-2 number, since 2×10614755970² (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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 53881912 + ... + 53882108.

Almost surely, 2^10614755970 is an apocalyptic number.

10614755970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10614755970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19126533888).

10614755970 is an abundant number, since it is smaller than the sum of its proper divisors (27638311806).

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

10614755970 is a wasteful number, since it uses less digits than its factorization.

10614755970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The spelling of 10614755970 in words is "ten billion, six hundred fourteen million, seven hundred fifty-five thousand, nine hundred seventy".