2338513808400 has 1215 divisors, whose sum is σ = 10407903720669. Its totient is φ = 484456896000.

The previous prime is 2338513808381. The next prime is 2338513808461. The reversal of 2338513808400 is 48083158332.

The square root of 2338513808400 is 1529220.

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

2338513808400 is a `hidden beast` number, since 2 + 33 + 85 + 138 + 0 + 8 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 841864971024 + 1496648837376 = 917532^2 + 1223376^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 7064996235 + ... + 7064996565.

Almost surely, 2^{2338513808400} is an apocalyptic number.

2338513808400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2338513808400 is the 1529220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2338513808400

2338513808400 is an abundant number, since it is smaller than the sum of its proper divisors (8069389912269).

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

2338513808400 is a wasteful number, since it uses less digits than its factorization.

2338513808400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 2338513808400 in words is "two trillion, three hundred thirty-eight billion, five hundred thirteen million, eight hundred eight thousand, four hundred".