248915697408 has 216 divisors, whose sum is σ = 856266225360. Its totient is φ = 71118673920.

The previous prime is 248915697379. The next prime is 248915697409. The reversal of 248915697408 is 804796519842.

248915697408 is a `hidden beast` number, since 2 + 4 + 8 + 91 + 56 + 97 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×248915697408² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248915697409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28783 + ... + 706158.

Almost surely, 2^248915697408 is an apocalyptic number.

248915697408 is a gapful number since it is divisible by the number (28) 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 248915697408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428133112680).

248915697408 is an abundant number, since it is smaller than the sum of its proper divisors (607350527952).

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

248915697408 is an equidigital number, since it uses as much as digits as its factorization.

248915697408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734980 (or 734953 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 248915697408 in words is "two hundred forty-eight billion, nine hundred fifteen million, six hundred ninety-seven thousand, four hundred eight".