10077435144348 has 96 divisors (see below), whose sum is σ = 27625992710400. Its totient is φ = 2818747107840.

The previous prime is 10077435144317. The next prime is 10077435144409. The reversal of 10077435144348 is 84344153477001.

It is a self number, because there is not a number n which added to its sum of digits gives 10077435144348.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46995511 + ... + 47209457.

It is an arithmetic number, because the mean of its divisors is an integer number (287770757400).

Almost surely, 2^{10077435144348} is an apocalyptic number.

It is an amenable number.

10077435144348 is an abundant number, since it is smaller than the sum of its proper divisors (17548557566052).

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

10077435144348 is a wasteful number, since it uses less digits than its factorization.

10077435144348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241427 (or 241425 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 51.

The spelling of 10077435144348 in words is "ten trillion, seventy-seven billion, four hundred thirty-five million, one hundred forty-four thousand, three hundred forty-eight".