1036148413020 has 432 divisors, whose sum is σ = 3453198142464. Its totient is φ = 231450912000.

The previous prime is 1036148412983. The next prime is 1036148413051. The reversal of 1036148413020 is 203148416301.

It is a super-3 number, since 3×1036148413020³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 2237901309 + ... + 2237901771.

Almost surely, 2^{1036148413020} is an apocalyptic number.

1036148413020 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 1036148413020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1726599071232).

1036148413020 is an abundant number, since it is smaller than the sum of its proper divisors (2417049729444).

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

1036148413020 is a wasteful number, since it uses less digits than its factorization.

1036148413020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 1036148413020 in words is "one trillion, thirty-six billion, one hundred forty-eight million, four hundred thirteen thousand, twenty".