1357364632064 has 160 divisors (see below), whose sum is σ = 3236809973760. Its totient is φ = 555999916032.

The previous prime is 1357364632061. The next prime is 1357364632073. The reversal of 1357364632064 is 4602364637531.

It is not an unprimeable number, because it can be changed into a prime (1357364632061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118613927 + ... + 118625369.

It is an arithmetic number, because the mean of its divisors is an integer number (20230062336).

Almost surely, 2^{1357364632064} is an apocalyptic number.

1357364632064 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 1357364632064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618404986880).

1357364632064 is an abundant number, since it is smaller than the sum of its proper divisors (1879445341696).

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

1357364632064 is a wasteful number, since it uses less digits than its factorization.

1357364632064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12930 (or 12914 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 50.

The spelling of 1357364632064 in words is "one trillion, three hundred fifty-seven billion, three hundred sixty-four million, six hundred thirty-two thousand, sixty-four".