10111497408 has 252 divisors, whose sum is σ = 30993806440. Its totient is φ = 3232558080.

The previous prime is 10111497401. The next prime is 10111497413. The reversal of 10111497408 is 80479411101.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

10111497408 is a `hidden beast` number, since 10 + 111 + 497 + 40 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10111497401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 171381283 + ... + 171381341.

Almost surely, 2^10111497408 is an apocalyptic number.

10111497408 is a gapful number since it is divisible by the number (18) 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 10111497408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15496903220).

10111497408 is an abundant number, since it is smaller than the sum of its proper divisors (20882309032).

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

10111497408 is an frugal number, since it uses more digits than its factorization.

10111497408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 10111497408 in words is "ten billion, one hundred eleven million, four hundred ninety-seven thousand, four hundred eight".