35253763750144 has 243 divisors, whose sum is σ = 75952989286993. Its totient is φ = 16327807000576.

The previous prime is 35253763750067. The next prime is 35253763750211. The reversal of 35253763750144 is 44105736735253.

The square root of 35253763750144 is 5937488.

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

It can be written as a sum of positive squares in only one way, i.e., 27446701881600 + 7807061868544 = 5238960^2 + 2794112^2 .

It is a Duffinian number.

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, 134044728957 + ... + 134044729219.

Almost surely, 2^{35253763750144} is an apocalyptic number.

35253763750144 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

35253763750144 is the 5937488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35253763750144

35253763750144 is an abundant number, since it is smaller than the sum of its proper divisors (40699225536849).

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

35253763750144 is an frugal number, since it uses more digits than its factorization.

35253763750144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 31752000, while the sum is 55.

The spelling of 35253763750144 in words is "thirty-five trillion, two hundred fifty-three billion, seven hundred sixty-three million, seven hundred fifty thousand, one hundred forty-four".