10023777346734 has 48 divisors (see below), whose sum is σ = 22530025015680. Its totient is φ = 3340151883000.

The previous prime is 10023777346703. The next prime is 10023777346771. The reversal of 10023777346734 is 43764377732001.

10023777346734 is a `hidden beast` number, since 10 + 0 + 2 + 3 + 77 + 73 + 467 + 34 = 666.

10023777346734 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10023777346734² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1948642 + ... + 4883109.

It is an arithmetic number, because the mean of its divisors is an integer number (469375521160).

Almost surely, 2^{10023777346734} is an apocalyptic number.

10023777346734 is an abundant number, since it is smaller than the sum of its proper divisors (12506247668946).

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

10023777346734 is an equidigital number, since it uses as much as digits as its factorization.

10023777346734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6834787 (or 6834775 counting only the distinct ones).

The product of its (nonzero) digits is 12446784, while the sum is 54.

The spelling of 10023777346734 in words is "ten trillion, twenty-three billion, seven hundred seventy-seven million, three hundred forty-six thousand, seven hundred thirty-four".