1164546101040 has 360 divisors, whose sum is σ = 4304493847440. Its totient is φ = 259685314560.

The previous prime is 1164546101027. The next prime is 1164546101041. The reversal of 1164546101040 is 401016454611.

It is a junction number, because it is equal to n+sod(n) for n = 1164546100992 and 1164546101010.

It is not an unprimeable number, because it can be changed into a prime (1164546101041) 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 71 ways as a sum of consecutive naturals, for example, 19739106 + ... + 19798014.

It is an arithmetic number, because the mean of its divisors is an integer number (11956927354).

Almost surely, 2^{1164546101040} is an apocalyptic number.

1164546101040 is a gapful number since it is divisible by the number (10) 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 1164546101040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2152246923720).

1164546101040 is an abundant number, since it is smaller than the sum of its proper divisors (3139947746400).

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

1164546101040 is a wasteful number, since it uses less digits than its factorization.

1164546101040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59021 (or 58967 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 1164546101040 in words is "one trillion, one hundred sixty-four billion, five hundred forty-six million, one hundred one thousand, forty".