249929226162 has 1536 divisors, whose sum is σ = 869518540800. Its totient is φ = 51732172800.

The previous prime is 249929226137. The next prime is 249929226163. The reversal of 249929226162 is 261622929942.

249929226162 is a `hidden beast` number, since 2 + 4 + 99 + 292 + 261 + 6 + 2 = 666.

It is a super-2 number, since 2×249929226162² (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 a junction number, because it is equal to n+sod(n) for n = 249929226099 and 249929226108.

It is not an unprimeable number, because it can be changed into a prime (249929226163) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 8062233087 + ... + 8062233117.

It is an arithmetic number, because the mean of its divisors is an integer number (566092800).

Almost surely, 2^249929226162 is an apocalyptic number.

249929226162 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 249929226162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434759270400).

249929226162 is an abundant number, since it is smaller than the sum of its proper divisors (619589314638).

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

249929226162 is a wasteful number, since it uses less digits than its factorization.

249929226162 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 142 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The spelling of 249929226162 in words is "two hundred forty-nine billion, nine hundred twenty-nine million, two hundred twenty-six thousand, one hundred sixty-two".