10214633532642 has 64 divisors (see below), whose sum is σ = 25470785193984. Its totient is φ = 2653096343040.

The previous prime is 10214633532641. The next prime is 10214633532643. The reversal of 10214633532642 is 24623533641201.

It is an interprime number because it is at equal distance from previous prime (10214633532641) and next prime (10214633532643).

It is a super-4 number, since 4×10214633532642⁴ (a number of 53 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 10214633532594 and 10214633532603.

It is not an unprimeable number, because it can be changed into a prime (10214633532641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24974763 + ... + 25380465.

It is an arithmetic number, because the mean of its divisors is an integer number (397981018656).

Almost surely, 2^{10214633532642} is an apocalyptic number.

10214633532642 is an abundant number, since it is smaller than the sum of its proper divisors (15256151661342).

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

10214633532642 is a wasteful number, since it uses less digits than its factorization.

10214633532642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460223.

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 10214633532642 in words is "ten trillion, two hundred fourteen billion, six hundred thirty-three million, five hundred thirty-two thousand, six hundred forty-two".