13671542970 has 96 divisors (see below), whose sum is σ = 37662709968. Its totient is φ = 3428941824.

The previous prime is 13671542933. The next prime is 13671543019. The reversal of 13671542970 is 7924517631.

13671542970 is a `hidden beast` number, since 1 + 36 + 7 + 1 + 542 + 9 + 70 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8817773409 + 4853769561 = 93903^2 + 69669^2 .

It is a super-2 number, since 2×13671542970² (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 a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3696162 + ... + 3699858.

Almost surely, 2^13671542970 is an apocalyptic number.

13671542970 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 13671542970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18831354984).

13671542970 is an abundant number, since it is smaller than the sum of its proper divisors (23991166998).

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

13671542970 is a wasteful number, since it uses less digits than its factorization.

13671542970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6144 (or 6141 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 13671542970 in words is "thirteen billion, six hundred seventy-one million, five hundred forty-two thousand, nine hundred seventy".