1929106837152 has 1008 divisors, whose sum is σ = 6523602503040. Its totient is φ = 560431872000.

The previous prime is 1929106837139. The next prime is 1929106837157. The reversal of 1929106837152 is 2517386019291.

It is a happy number.

It is a super-2 number, since 2×1929106837152² (a number of 25 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 (1929106837157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 9142686327 + ... + 9142686537.

It is an arithmetic number, because the mean of its divisors is an integer number (6471827880).

Almost surely, 2^{1929106837152} is an apocalyptic number.

1929106837152 is a gapful number since it is divisible by the number (12) 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 1929106837152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3261801251520).

1929106837152 is an abundant number, since it is smaller than the sum of its proper divisors (4594495665888).

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

1929106837152 is a wasteful number, since it uses less digits than its factorization.

1929106837152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 1929106837152 in words is "one trillion, nine hundred twenty-nine billion, one hundred six million, eight hundred thirty-seven thousand, one hundred fifty-two".