10077526438144 has 243 divisors, whose sum is σ = 23509922779903. Its totient is φ = 4307177881600.

The previous prime is 10077526438129. The next prime is 10077526438163. The reversal of 10077526438144 is 44183462577001.

The square root of 10077526438144 is 3174512.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1960224006400 + 8117302431744 = 1400080^2 + 2849088^2 .

It is a super-2 number, since 2×10077526438144² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10077526438091 and 10077526438100.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9498139374 + ... + 9498140434.

Almost surely, 2^{10077526438144} is an apocalyptic number.

10077526438144 is the 3174512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10077526438144

10077526438144 is an abundant number, since it is smaller than the sum of its proper divisors (13432396341759).

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

10077526438144 is an frugal number, since it uses more digits than its factorization.

10077526438144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2194 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 52.

The spelling of 10077526438144 in words is "ten trillion, seventy-seven billion, five hundred twenty-six million, four hundred thirty-eight thousand, one hundred forty-four".