10145050032656 has 160 divisors (see below), whose sum is σ = 25018326724608. Its totient is φ = 3870316869120.

The previous prime is 10145050032641. The next prime is 10145050032731. The reversal of 10145050032656 is 65623005054101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32689445 + ... + 32998331.

Almost surely, 2^{10145050032656} is an apocalyptic number.

10145050032656 is a gapful number since it is divisible by the number (16) 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 10145050032656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12509163362304).

10145050032656 is an abundant number, since it is smaller than the sum of its proper divisors (14873276691952).

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

10145050032656 is a wasteful number, since it uses less digits than its factorization.

10145050032656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309469 (or 309463 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 38.

Adding to 10145050032656 its reverse (65623005054101), we get a palindrome (75768055086757).

The spelling of 10145050032656 in words is "ten trillion, one hundred forty-five billion, fifty million, thirty-two thousand, six hundred fifty-six".