1654141404960 has 768 divisors, whose sum is σ = 6803146506240. Its totient is φ = 371188224000.

The previous prime is 1654141404959. The next prime is 1654141404967. The reversal of 1654141404960 is 694041414561.

1654141404960 is a `hidden beast` number, since 1 + 6 + 5 + 4 + 14 + 140 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1654141404967) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 33857350 + ... + 33906170.

It is an arithmetic number, because the mean of its divisors is an integer number (8858263680).

Almost surely, 2^{1654141404960} is an apocalyptic number.

1654141404960 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 1654141404960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3401573253120).

1654141404960 is an abundant number, since it is smaller than the sum of its proper divisors (5149005101280).

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

1654141404960 is a wasteful number, since it uses less digits than its factorization.

1654141404960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48910 (or 48896 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 1654141404960 in words is "one trillion, six hundred fifty-four billion, one hundred forty-one million, four hundred four thousand, nine hundred sixty".