356249405148 has 192 divisors, whose sum is σ = 1085150330880. Its totient is φ = 88330694400.

The previous prime is 356249405143. The next prime is 356249405191. The reversal of 356249405148 is 841504942653.

It is a happy number.

356249405148 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 356249405148.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (356249405143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2652453 + ... + 2783523.

It is an arithmetic number, because the mean of its divisors is an integer number (5651824640).

Almost surely, 2^356249405148 is an apocalyptic number.

356249405148 is a gapful number since it is divisible by the number (38) 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 356249405148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542575165440).

356249405148 is an abundant number, since it is smaller than the sum of its proper divisors (728900925732).

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

356249405148 is a wasteful number, since it uses less digits than its factorization.

356249405148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131248 (or 131246 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 51.

The spelling of 356249405148 in words is "three hundred fifty-six billion, two hundred forty-nine million, four hundred five thousand, one hundred forty-eight".