1151929062144 has 864 divisors, whose sum is σ = 4120182044160. Its totient is φ = 302181580800.

The previous prime is 1151929062101. The next prime is 1151929062197. The reversal of 1151929062144 is 4412609291511.

1151929062144 is a `hidden beast` number, since 1 + 1 + 5 + 19 + 2 + 9 + 0 + 621 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1151929062144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3480148059 + ... + 3480148389.

Almost surely, 2^{1151929062144} is an apocalyptic number.

1151929062144 is a gapful number since it is divisible by the number (14) 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 1151929062144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2060091022080).

1151929062144 is an abundant number, since it is smaller than the sum of its proper divisors (2968252982016).

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

1151929062144 is a wasteful number, since it uses less digits than its factorization.

1151929062144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 1151929062144 in words is "one trillion, one hundred fifty-one billion, nine hundred twenty-nine million, sixty-two thousand, one hundred forty-four".