248497400750400 has 336 divisors, whose sum is σ = 905932326084480. Its totient is φ = 66261053030400.

The previous prime is 248497400750353. The next prime is 248497400750419. The reversal of 248497400750400 is 4057004794842.

248497400750400 is a `hidden beast` number, since 2 + 4 + 8 + 4 + 97 + 40 + 0 + 7 + 504 + 0 + 0 = 666.

It is a super-4 number, since 4×248497400750400⁴ (a number of 59 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 601180597 + ... + 601593803.

Almost surely, 2^{248497400750400} is an apocalyptic number.

248497400750400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248497400750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452966163042240).

248497400750400 is an abundant number, since it is smaller than the sum of its proper divisors (657434925334080).

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

248497400750400 is a wasteful number, since it uses less digits than its factorization.

248497400750400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427159 (or 427138 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 248497400750400 in words is "two hundred forty-eight trillion, four hundred ninety-seven billion, four hundred million, seven hundred fifty thousand, four hundred".