249148106928 has 240 divisors, whose sum is σ = 846474869760. Its totient is φ = 68729810688.

The previous prime is 249148106927. The next prime is 249148106939. The reversal of 249148106928 is 829601841942.

It is a happy number.

249148106928 is a `hidden beast` number, since 2 + 491 + 48 + 106 + 9 + 2 + 8 = 666.

It is a super-2 number, since 2×249148106928² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (249148106927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2494201 + ... + 2592167.

It is an arithmetic number, because the mean of its divisors is an integer number (3526978624).

Almost surely, 2^249148106928 is an apocalyptic number.

249148106928 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 249148106928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423237434880).

249148106928 is an abundant number, since it is smaller than the sum of its proper divisors (597326762832).

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

249148106928 is a wasteful number, since it uses less digits than its factorization.

249148106928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98049 (or 98008 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 249148106928 in words is "two hundred forty-nine billion, one hundred forty-eight million, one hundred six thousand, nine hundred twenty-eight".