10214132424048 has 120 divisors (see below), whose sum is σ = 32669685899136. Its totient is φ = 2918263248000.

The previous prime is 10214132423977. The next prime is 10214132424049. The reversal of 10214132424048 is 84042423141201.

10214132424048 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 4 + 1 + 3 + 242 + 404 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10214132424049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76471723 + ... + 76605173.

Almost surely, 2^{10214132424048} is an apocalyptic number.

10214132424048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10214132424048 is an abundant number, since it is smaller than the sum of its proper divisors (22455553475088).

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

10214132424048 is a wasteful number, since it uses less digits than its factorization.

10214132424048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209403 (or 209394 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

Adding to 10214132424048 its reverse (84042423141201), we get a palindrome (94256555565249).

The spelling of 10214132424048 in words is "ten trillion, two hundred fourteen billion, one hundred thirty-two million, four hundred twenty-four thousand, forty-eight".