1545536049408 has 864 divisors, whose sum is σ = 5133156852096. Its totient is φ = 460844826624.

The previous prime is 1545536049401. The next prime is 1545536049439. The reversal of 1545536049408 is 8049406355451.

1545536049408 is a `hidden beast` number, since 1 + 5 + 4 + 553 + 6 + 0 + 49 + 40 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 (1545536049401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4586160216 + ... + 4586160552.

It is an arithmetic number, because the mean of its divisors is an integer number (5941153764).

Almost surely, 2^{1545536049408} is an apocalyptic number.

1545536049408 is a gapful number since it is divisible by the number (18) 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 1545536049408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2566578426048).

1545536049408 is an abundant number, since it is smaller than the sum of its proper divisors (3587620802688).

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

1545536049408 is a wasteful number, since it uses less digits than its factorization.

1545536049408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 1545536049408 in words is "one trillion, five hundred forty-five billion, five hundred thirty-six million, forty-nine thousand, four hundred eight".