4538690102772 has 144 divisors (see below), whose sum is σ = 14160117384000. Its totient is φ = 1252052399808.

The previous prime is 4538690102753. The next prime is 4538690102773. The reversal of 4538690102772 is 2772010968354.

It is a happy number.

4538690102772 is a `hidden beast` number, since 4 + 5 + 386 + 90 + 102 + 7 + 72 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4538690102773) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14633622 + ... + 14940557.

It is an arithmetic number, because the mean of its divisors is an integer number (98334148500).

It is a 1-persistent number, because it is pandigital, but 2⋅4538690102772 = 9077380205544 is not.

Almost surely, 2^{4538690102772} is an apocalyptic number.

4538690102772 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4538690102772 is an abundant number, since it is smaller than the sum of its proper divisors (9621427281228).

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

4538690102772 is a wasteful number, since it uses less digits than its factorization.

4538690102772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29574235 (or 29574220 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 4538690102772 in words is "four trillion, five hundred thirty-eight billion, six hundred ninety million, one hundred two thousand, seven hundred seventy-two".