10145402216235 has 96 divisors (see below), whose sum is σ = 20667860269056. Its totient is φ = 4538812320000.

The previous prime is 10145402216207. The next prime is 10145402216273. The reversal of 10145402216235 is 53261220454101.

10145402216235 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 5 + 4 + 0 + 2 + 21 + 623 + 5 = 666.

It is not a de Polignac number, because 10145402216235 - 2⁶ = 10145402216171 is a prime.

It is a super-3 number, since 3×10145402216235³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 10145402216235.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16106670 + ... + 16724700.

It is an arithmetic number, because the mean of its divisors is an integer number (215290211136).

Almost surely, 2^{10145402216235} is an apocalyptic number.

10145402216235 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10145402216235 is an abundant number, since it is smaller than the sum of its proper divisors (10522458052821).

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

10145402216235 is a wasteful number, since it uses less digits than its factorization.

10145402216235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620617 (or 620614 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 10145402216235 in words is "ten trillion, one hundred forty-five billion, four hundred two million, two hundred sixteen thousand, two hundred thirty-five".